Home
Class 12
MATHS
If the position vector of p is 3barp+b...

If the position vector of p is `3barp+barq and barp` divides PQ internally in the ratio `3:4`, the position vector of `Q` is

A

`1/3(5barp+4barq)`

B

`1/3(4barp+5barq)`

C

`(-1)/3(5barp+4barq)`

D

`(-1)/(3)(4barp+5barq)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

A and B are two points. The position vector of A is 6b-2a. A point P divides the line AB in the ratio 1:2. if a-b is the position vector of P, then the position vector of B is given by

If the point barP (barp) =bara+ 2barb and the point A(bara) divides seg PQ internally in the ratio 2: 3, then : Q(barq) =

bara,barb are position vectors of points A and B. If P divides AB in the ratio 3:1 and Q is the mid-point of AP, then position vectors of Q will be

Let A(1,-1,2) and B(2,3-1) be two points. If a point P divides AB internally in the ratio 2:3 , then the position vector of P is

If the position vector of a point (-4,-3) be vec a, find |a|

The position vectors of P and Q are respectively a and b. If R is a point on PQ such that PR=5PQ, then the position vector of R is

If a and b are position vector of two points A,B and C divides AB in ratio 2:1, then position vector of C is

TARGET PUBLICATION-VECTORS-Evaluation Test
  1. Given bara, barb, barc are three non-zero vectors, no two of which are...

    Text Solution

    |

  2. If bara,barb,barc are three non-coplanar vectors such that barr1=bara-...

    Text Solution

    |

  3. Let a,b,c be distinct non- negative numbers . If the vectors ah...

    Text Solution

    |

  4. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  5. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

    Text Solution

    |

  6. The value of a so that volume of parallelopiped formed by vectors over...

    Text Solution

    |

  7. If bara.barb=barb.barc=barc.bara=0 then the value of [bara" "barb" "ba...

    Text Solution

    |

  8. Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and ba...

    Text Solution

    |

  9. If bara and barb are vectors such that |bara+barb|=sqrt(29) and baraxx...

    Text Solution

    |

  10. If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...

    Text Solution

    |

  11. P is any point on the circumference of the circumcircle of DeltaABC. ...

    Text Solution

    |

  12. The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(...

    Text Solution

    |

  13. If the volume of parallelopiped whose concurrent edges are 3overset(^)...

    Text Solution

    |

  14. If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)...

    Text Solution

    |

  15. If the position vector of p is 3barp+barq and barp divides PQ intern...

    Text Solution

    |

  16. A(bara)=3overset(^)i+2overset(^)j,B(barb)=5overset(^)i+3overset(^)j+2o...

    Text Solution

    |

  17. In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0)...

    Text Solution

    |

  18. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |